{"publication_status":"published","publication":"Reviews in Mathematical Physics","abstract":[{"lang":"eng","text":"In this paper we describe an intrinsically geometric way of producing magnetic fields on S3 and R3 for which the corresponding Dirac operators have a non-trivial kernel. In many cases we are able to compute the dimension of the kernel. In particular we can give examples where the kernel has any given dimension. This generalizes the examples of Loss and Yau [1]."}],"author":[{"id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","last_name":"Erdös","orcid":"0000-0001-5366-9603","first_name":"László","full_name":"Erdös, László"},{"last_name":"Solovej","first_name":"Jan","full_name":"Solovej, Jan"}],"doi":"10.1142/S0129055X01000983","_id":"2734","publication_identifier":{"issn":["0129-055X"]},"volume":13,"date_updated":"2023-05-16T12:24:25Z","type":"journal_article","extern":"1","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","oa":1,"page":"1247 - 1280","status":"public","external_id":{"arxiv":["math-ph/0001036"]},"citation":{"apa":"Erdös, L., &#38; Solovej, J. (2001). The kernel of Dirac operators on S3 and R3. <i>Reviews in Mathematical Physics</i>. World Scientific Publishing. <a href=\"https://doi.org/10.1142/S0129055X01000983\">https://doi.org/10.1142/S0129055X01000983</a>","chicago":"Erdös, László, and Jan Solovej. “The Kernel of Dirac Operators on S3 and R3.” <i>Reviews in Mathematical Physics</i>. World Scientific Publishing, 2001. <a href=\"https://doi.org/10.1142/S0129055X01000983\">https://doi.org/10.1142/S0129055X01000983</a>.","ista":"Erdös L, Solovej J. 2001. The kernel of Dirac operators on S3 and R3. Reviews in Mathematical Physics. 13(10), 1247–1280.","ieee":"L. Erdös and J. Solovej, “The kernel of Dirac operators on S3 and R3,” <i>Reviews in Mathematical Physics</i>, vol. 13, no. 10. World Scientific Publishing, pp. 1247–1280, 2001.","mla":"Erdös, László, and Jan Solovej. “The Kernel of Dirac Operators on S3 and R3.” <i>Reviews in Mathematical Physics</i>, vol. 13, no. 10, World Scientific Publishing, 2001, pp. 1247–80, doi:<a href=\"https://doi.org/10.1142/S0129055X01000983\">10.1142/S0129055X01000983</a>.","ama":"Erdös L, Solovej J. The kernel of Dirac operators on S3 and R3. <i>Reviews in Mathematical Physics</i>. 2001;13(10):1247-1280. doi:<a href=\"https://doi.org/10.1142/S0129055X01000983\">10.1142/S0129055X01000983</a>","short":"L. Erdös, J. Solovej, Reviews in Mathematical Physics 13 (2001) 1247–1280."},"date_created":"2018-12-11T11:59:19Z","month":"10","article_processing_charge":"No","issue":"10","oa_version":"Published Version","main_file_link":[{"url":"https://arxiv.org/abs/math-ph/0001036","open_access":"1"}],"title":"The kernel of Dirac operators on S3 and R3","quality_controlled":"1","scopus_import":"1","intvolume":"        13","language":[{"iso":"eng"}],"publist_id":"4158","date_published":"2001-10-01T00:00:00Z","year":"2001","publisher":"World Scientific Publishing","article_type":"original","day":"01"}